International Journal of ControlVolume 92, Issue 1, 2 January 2019, Pages 12-26

Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance(Article)

  • aThe Key Laboratory of System and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing, China
  • bSchool of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

Abstract View references (28)

In this paper, we consider stabilisation for a cascade of ODE and first-order hyperbolic equation with external disturbance flowing to the control end. The active disturbance rejection control (ADRC) and sliding mode control (SMC) approaches are adopted in investigation. By ADRC approach, the disturbance is estimated through a disturbance estimator with both time-varying high gain and constant high gain, and the disturbance is canceled online in the feedback loop. It is shown that the resulting closed-loop system with time-varying high gain is asymptotically stable and is practically stable with constant high gain. By SMC approach, the existence and uniqueness of the solution for the closed loop via SMC are proved, and the monotonicity of the ‘reaching condition’ is presented. The resulting closed-loop system is shown to be exponentially stable. The numerical experiments are carried out to illustrate effectiveness of the proposed control law. © 2016, © 2016 Informa UK Limited, trading as Taylor & Francis Group.

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Author keywords

35L0237L1593B5193B5293D15Active disturbance rejection controlboundary feedback controlsliding mode controlstabilisation

Indexed keywords

Engineering controlled terms:Closed loop systemsFeedback controlOrdinary differential equationsPartial differential equationsSliding mode controlStabilization
Engineering uncontrolled termsActive disturbance rejection controlsAsymptotically stableBoundary feedback controlDisturbance estimatorExistence and uniquenessExternal disturbancesNumerical experimentsSliding mode control(SMC)
Engineering main heading:Disturbance rejection

Funding details

Funding sponsor Funding number Acronym
National Natural Science Foundation of China61273129NSFC
  • Funding text

    This work was carried out with the support of the National Natural Science Foundation of China [grant number 61273129], and the National Research Foundation of South Africa.

  • ISSN: 00207179
  • CODEN: IJCOA
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1080/00207179.2016.1235286
  • Document Type: Article
  • Publisher: Taylor and Francis Ltd.

  Guo, B.-Z.; The Key Laboratory of System and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing, China; email:bzguo@iss.ac.cn
© Copyright 2019 Elsevier B.V., All rights reserved.

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